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Questions tagged [number-sequence]

A puzzle in which the hidden pattern behind a given sequence of numbers (and, often, the next term) is to be found. Use with [sequence]

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4 votes
0 answers
748 views
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Given the length of sequences with different seed values, what comes next? 1, 2, 4, 5, 11, 22, etc

Edit: Apparently this site has had a few too many what comes next puzzles without anything to go off of so I've decided to make this a different albeit a bit easier puzzle. Sequences generated by a ...
4 votes
1 answer
213 views

Self-numbers and repunits

Self-numbers or Colombian numbers (A003052 in the OEIS) are natural numbers which are not the sum of a smaller number and the sum of its digits. Repunits (in base 10) are numbers consisting only of 1'...
12 votes
1 answer
761 views

What is a One-In-A-Million Number™?

This is in the spirit of the What is a Word™/Phrase™ series started by JLee with a special brand of Phrase™ and Word™ puzzles. If a number conforms to a special rule, I call it a One-In-A-Million ...
9 votes
1 answer
867 views

How is the RHS related to the LHS

Please explain the following relationship: Accessible: 2 --> 18 20 --> 48 200 --> 6 2000 --> 26 How did I arrive at these?
-5 votes
2 answers
119 views

An interesting Number sequence: 8, 10, 7, ...? [closed]

Let's see how many of you can solve this correctly I found a number sequence puzzle somewhere in the web with interesting logic and a unique strict solution. 8, 10, 7, 12, 5, 16, 3, ?
1 vote
1 answer
141 views

Continue the row of numbers: 1, 3, 9, 13, 65, ...?

Yesterday, I stumbled across a series of numbers that I could not solve. Maybe one of you can figure it out? 1, 3, 9, 13, 65, …?
6 votes
1 answer
268 views

Find the next number in these series..?

1, 1, 1, 1, 2, 2, 2, 2, 2, 5, 4, ? 2, 4, 6, 10, 15, 26, ? 71, 194, 38, 1701, 89, 76, ? 5303944, 6677714, 2070936216988528558, ? 1, 2, 3, 6, 9, 9, 16, 20, 18, 30, ? You know, there is more than ...
2 votes
1 answer
282 views

1, 2, 3, 10, ... Another find-the-next-number-in-the-sequence puzzle

Can you spot the pattern and continue the following sequence? 1, 2, 3, 10, 12, 16, 25, 37, 55, 81, 100, ... Hints:
-2 votes
1 answer
153 views

What is the next number in the sequence below [closed]

6.000,7.000,.857,8.168,.105,77.790 Which of the following responses completes the series .001 740.857 9.524 .013
0 votes
0 answers
156 views

Two number patterns (clue: or geometrical shapes)

Solve the series: Series 1: 6 and 1 5 and 2 4 and 3 5 and 1 ??? Series 2: 6 and 1 5 and 2 5 and 1 4 and 3 ???
3 votes
1 answer
296 views

The "Slightly Spooky Sequence" Game

Two players, Alice and Beatrice, having previously agreed on a positive integer N (say 30) as a limit, take turns to write a sequence of positive integers. In the first turn Alice writes 1. Thereafter,...
12 votes
2 answers
966 views

Introducing S-sequences: which is the shortest to contain all integers 1 to 20?

Consider a sequence (finite or infinite) of different positive integers, such as the following, in which the first term is 1, and thereafter the nth term is either the previous term plus n, minus n, ...
6 votes
1 answer
258 views

Same sequence interwoven with itself creating groups

If we take all the digits from 1 to 9 and lay them out in order. 123456789 Now repeat the sequence and add it to the end. 123456789123456789 Now let's copy and reverse everything to create a second ...
18 votes
1 answer
702 views

What is the last integer in this sequence?

Here are the first several entries in a finite sequence of integers. $$ 31, 45, 71, 89, 91, 94, 111, 112, 118, 121, 126, 131, $$ $$ 134, 135, 139, 143, 144, 145, 148, 158, 161, 189, 193, 194, \dots $$ ...
1 vote
2 answers
162 views

How Many Magic Hexagons that use repeated digits?

There exists only 1 normal magic hexagon that uses non repeating consecutive digits for 1 to 19. If We allow digits to repeat we can create something like this hexagon that is made up using ...
42 votes
3 answers
2k views

What comes next in the sequence? (Counting sheep)

My roommate has insomnia so he was counting sheep to help him sleep. He started with 2986, then continued with 47786, 764586, and 12233386. What sequence is he following, and what was the next number?
2 votes
1 answer
175 views

More bits the merrier

The computer department at Puzzled State University devised an inefficient bit-based (zeros and ones) number system, n', for their ever more bit-happy machines. ...
3 votes
1 answer
401 views

please Extend this list of Units

Given the following list of four corresponding series of numbers, what would the fifth line look like? 1 : 1.4 / 3 2 : 3 / 2 | 1 : 2 / 6 2 : 3 / 2 1 : 2 / 3 Hint 1: This puzzle was inspired by the ...
11 votes
1 answer
283 views

Square Sum Problem Summing 3 consecutive digits along the line

In this image from a numberphile video we see a sequence of numbers from 1 to 15 without repeats where any pair of neighbouring digits sum together to make a perfect square number. 15 is the lowest ...
3 votes
1 answer
207 views

Saturdays' Sequences

0.469281 0.267974 0.333333 0.333333 0.666667 0.499346 0.333333 2 2 1 1 2 2 1 3 2 F 0 0 0 0 U P F O X F E 0 0 1 1 2 1 1 Here are 5 intertwined sequences. I will add one sequence each saturday ...
3 votes
1 answer
191 views

Smallest 3x3 Magic Square of different square sums

Consider the follow magic square highlighted in yellow. The sum of its rows and columns are in green and the sum of the diagonals in red. All of its sums are a square number with the sum of the whole ...
6 votes
3 answers
640 views

What's the next number? You may need some help

What's the next number in the following sequence? 1, 3, 6, 7, 9, 11, 13, 14, 18, 21, 23, 28, 31, ___, ... Hints will be released gradually - the first one is in the title. Hint #2: Additionally: ...
13 votes
1 answer
886 views

Twelve numbers omitted

This is the beginning of a simple sequence. NO Computers or special knowledge are required. Insert the missing numbers. Explain how the sequence was generated. Note: the line breaks can be ignored, ...
14 votes
3 answers
364 views

Look at me - a number sequence

This sequence goes on forever, but here are the first 7 terms. The X's are just there to hide the actual digits. Can you find all the correct digits of the 8th entry? 1024, 90X1X, 25023X, 490364, ...
12 votes
4 answers
575 views

This number sequence has entered my life recently

Just recently, I've noticed this sequence of numbers has become a pretty big part of my life. It goes like this: 1, 2, 4, 6, 9, 12 So here's the mystery: What is this sequence? Where do I keep seeing ...
11 votes
1 answer
362 views

A rather odd number sequence!

Can you find the next number in this baffling sequence? 925, 955, 1040, 1140, 1255, 225, 410, ?
12 votes
1 answer
438 views

The Very Model of a Number Sequence

Number sequence questions are normally not received well here but I thought this one might warrant a bit more attention as it has the following interesting properties: It is a finite sequence. Each ...
3 votes
0 answers
152 views

Odd one's out (sequence)

Once upon a time, there was a curious mathematician named Friedrich. One day, while exploring a new area of mathematics, he stumbled upon an intriguing sequence of numbers: 0, 1, 2, 2, 4, 3, 3, 4, 4, ...
3 votes
1 answer
196 views

A Weird Sequence

Today, I was in Rome for a vacation. The most peculiar thing happened. A gnome walked up to me. Uttering no words, it handed me a slip of paper. 0, 1, 1, 2, 3, 2, 5, 5, 5, 9, 4, ? Naturally, I was ...
4 votes
2 answers
465 views

Number sequence: 5, 12, 24, 36, 52, 68, 84, 100, ? What's next?

Replace the question mark and explain the rule behind this sequence: 5, 12, 24, 36, 52, 68, 84, 100, ?
8 votes
1 answer
1k views

Missing number in a sequence: 61, 52, 63, 94, ??, 18, 001, 121

I am trying some quantitative aptitude questions and I am unable to solve this particular multiple-choice finish-the-sequence question: Find the missing number in the sequence: 61, 52, 63, 94, __, 18,...
2 votes
1 answer
379 views

Another predictable sequence: 1, 1, 2, 2, 1, 17, etc

This puzzle is part of the Monthly Topic Challenge #6: Is it really that [time] again?. Can you find the pattern? Note: The next number hasn't been worked out yet. ...
1 vote
1 answer
229 views

What are the missing numbers in the circle?

Given the following diagram, what are the missing two numbers in the last figure? This is from a mathematics book for primary school
2 votes
1 answer
316 views

Is this series limited to six numbers only?

Maybe this problem is already answered. I am not aware. What is the next number in the following series? Importantly, after that number, are there any more numbers? Is there a math-related reason for ...
59 votes
1 answer
56k views

My dead mom left behind some number code

Background: I actually do not know the answer to this puzzle, but can answer any questions you may have. My mom who is now deceased had this series of numbers written in her notebook, that don't seem ...
10 votes
1 answer
909 views

Will the sequence ever change?

Here is a sequence that seems to go on forever. Will it? Will this sequence ever change? 1,2,3,1,0,1,2,3,1,0,1,2,3,1,0 and so on What does this sequence relate to?
4 votes
1 answer
271 views

Number sequence puzzle stuck on

Stuck on this number sequence puzzle for a while now, today was talking about IQ tests with somebody so thought I'd ask here. 1, 2, 33, ?, 555, 23, ?, 222 The source is INRC 2018 Q3 (btw if anyone ...
-4 votes
1 answer
248 views

Chinese Pinyin Puzzle

Puzzle World in VR Chat. Must Select the 8 Words in the right order 1-8. Nothing other than that I'm aware of.
4 votes
5 answers
910 views

What is the next number in this sequence? (My first)

This is my first attempt at a question. Please let me know what you think of it, I came up with the idea for it while trying to figure out some of the other sequence questions here. 1, 2, 5, 10, 21,...
3 votes
1 answer
276 views

What is the next number in the series 1111111,111,21,13,12,11,10? [closed]

Find the next number in the series 1111111,111,21,13,12,11,10, [There was a hint saying the answer is a single-digit integer, and the series has something to do with the number 7] I've only been able ...
3 votes
1 answer
227 views

Two naughty programmers

The math professor wrote an equation f(x) = x and defined t as number of solutions at f(x) = 5 and u as number of solutions at f(x) = 3. He further defines N as N = t+u Two programmers decided to edit ...
1 vote
0 answers
139 views

An increasing decreasing sequence

In math, there are all kinds of sequences 1545, 1218, 1071, 921, 851, 832, 799, 793, 774, 745, ... is (the start of) such as sequence What is the best number? Note: Even in math things change, so ...
3 votes
3 answers
182 views

Balanced binary cycle

Let's call a binary cycle ${\bf x}:x_1,x_2,\ldots, x_{12}$ balanced if exactly 6 of the $x_i$'s are 0 and 6 of them are 1. We can place the sequence around a circle and add each two adjacent digits ...
2 votes
1 answer
339 views

German number sequence

Classical format, here is a sequence of numbers, you need to find out how it continues: 5, 4, 14, 8, 0, 4, 2, 2, 2, 0, -3, -1, -2, -3, -7, -7, -6 This puzzle should also have the tag 'Germany' ...
12 votes
1 answer
717 views

What is the sequence?

The following 5 sequences of base-10 numbers all follow the same pattern, and converge at 14,. What is the pattern and which number is next? 1,5,10,14,23,... 2,6,10,14,23,... 3,9,14,23,... 4,9,14,23,.....
13 votes
1 answer
2k views

Mom Got Me Shoes For My Birthday

What number must replace the question mark below? 218 19 780 17 11 9,000 301 6 8 600 ? 80 70
2 votes
1 answer
218 views

Next number in the sequence 2, 4, 3, 10, 5, 5, 28, 11

2, 4, 3, 10, 5, 5, 28, 11, 7, 8, 82, 29, ? I was asked this on an interview. My time ran out and I couldn't figure out the pattern. I am spotting a lot of $3^n + 1$ terms here maybe that is helpful ...
12 votes
6 answers
5k views

20 cards facing down

You have a row of $20$ cards facing down. A 'move' consists of the following actions performed in sequence: Pick a face-down card and flip it face-up If there is one, also flip the next card on ...
17 votes
1 answer
4k views

Radical IQ challenge

This puzzle is part of the Monthly Topic Challenge #2: IQ Puzzle Parody Can you find out the next one in the sequence, how it's different to the ones before it, and explain the pattern? 1 10 11 20 31 ...
5 votes
1 answer
297 views

There are a lot of gifts missing

1-108-121-128-146-157-195-227-305-315-??? There are a lot of gifts missing There is a missing 11th number which is it? This is not on OEIS :)

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